[tex]\hbar[/tex] is about [tex]10^{-34}J\cdot s[/tex]; [tex]\frac{e^2}{\epsilon_0 c}[/tex] is about [tex]10^{-36}J\cdot s[/tex]. The second is almost a hundred times bigger than the first; they are not equal.

[tex]\hbar[/tex] is about [tex]10^{-34}J\cdot s[/tex]; [tex]\frac{e^2}{\epsilon_0 c}[/tex] is about [tex]10^{-36}J\cdot s[/tex]. The second is almost a hundred times bigger than the first; they are not equal.